112101212220101 has 16 divisors (see below), whose sum is σ = 120951247776240. Its totient is φ = 103283597767680.

The previous prime is 112101212220029. The next prime is 112101212220163. The reversal of 112101212220101 is 101022212101211.

It can be written as a sum of positive squares in 8 ways, for example, as 1990314316225 + 110110897903876 = 1410785^2 + 10493374^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101212220101 - 2²⁶ = 112101145111237 is a prime.

It is a super-2 number, since 2×112101212220101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112101212220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101212220191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246413021 + ... + 246867533.

It is an arithmetic number, because the mean of its divisors is an integer number (7559452986015).

Almost surely, 2^{112101212220101} is an apocalyptic number.

It is an amenable number.

112101212220101 is a deficient number, since it is larger than the sum of its proper divisors (8850035556139).

112101212220101 is a wasteful number, since it uses less digits than its factorization.

112101212220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490136.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112101212220101 its reverse (101022212101211), we get a palindrome (213123424321312).

The spelling of 112101212220101 in words is "one hundred twelve trillion, one hundred one billion, two hundred twelve million, two hundred twenty thousand, one hundred one".